10263167640 has 256 divisors, whose sum is σ = 38944281600. Its totient is φ = 2379801600.

The previous prime is 10263167581. The next prime is 10263167653. The reversal of 10263167640 is 4676136201.

It is a happy number.

10263167640 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 3 + 1 + 6 + 7 + 640 = 666.

It is a super-2 number, since 2×10263167640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10263167595 and 10263167604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254460 + ... + 292020.

It is an arithmetic number, because the mean of its divisors is an integer number (152126100).

Almost surely, 2^10263167640 is an apocalyptic number.

10263167640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10263167640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19472140800).

10263167640 is an abundant number, since it is smaller than the sum of its proper divisors (28681113960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10263167640 is a wasteful number, since it uses less digits than its factorization.

10263167640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37615 (or 37605 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10263167640 in words is "ten billion, two hundred sixty-three million, one hundred sixty-seven thousand, six hundred forty".